RRB NTPC CBT 2 (Level-3) Official Paper (Held On: 17 June 2022 Shift 2) (Previous Year Paper)

The correct answer is Pandita Ramabai.

Key Points

• Pandita Ramabai (1858-1922)
• Pandita Ramabai was born in the Canara district of the Madras Presidency (now in Karnataka) on April 23, 1858.
• In order to better the lives of women, particularly child widows, Ramabai pushed girls' education and founded the Arya Mahila Samaj in Pune in 1881.
• She founded the Mukti Mission, a refuge for young widows who had been abandoned and mistreated by their families, in Pune in 1889.
• She also founded Sharda Sadan, which offered shelter, healthcare, education, and vocational training to widows, orphans, and those with visual impairments.
• Because of her intellectual Sanskrit expertise, she is the first woman to be given the title Pandita.

Additional Information

• She died on 5 April 1922.
• In 1919, she receives the Kaisar-i-hind medal for her volunteer work in the community.
• Ramabai is honoured with a "feast day" on the Episcopal Church's liturgical calendar (USA).
• She also authored a number of books that depicted the difficult lives of women, including child widows and child brides.
• Ramabai had learned 18000 Puranas verses by the time she was 12 years old in addition to Sanskrit.
• She studied Bengali, Hindi, Kanarese, and Marathi.
• Her mother was Lakshmibai, and her father, Anant Shastri, was an educated Brahmin.

Given:

Roots of the equation 2x2 - 3x + a = 0 are in the ratio 1 : 2

Concept used:

If equation = ax² + bx + c then

Sum of roots = -b/a

Product of roots = c/a

Calculations:

Let the roots be α and 2α 

According to the question,

⇒ α + 2α = -(-3)/2 = 3/2

⇒ 3α = 3/2

⇒ α = 1/2

And, α × 2α = a/2

⇒ 2α² = a/2

⇒ a = 4α2 

⇒ a = 4(1/4) = 1

∴ The value of a is 1.

Given: 

The length of the tangent to a circle is 21 cm

The distance of Q from the centre 'O' of the circle is 29 cm

Concept used:

Pythagorean Theorem =  (Hypotenuse)² = (Perpendicular)² + (Base)² 

The tangent forms right-angle with the centre or radius of the circle.

Calculation:

According to the question,

(QO)² = (Radius)² + (Tangent)²

⇒ (29)2 = (Radius)2 + (21)2 

⇒ (Radius)2  = (29)2 - (21)2 

⇒ (Radius)2  = (841) - (441) 

⇒ Radius  = √400 = 20 cm

∴ The Radius of the circle is 20 cm.

Given:

Numbers 0.225, 0.36 and N

Their product = 243

Calculation:

According to the given question ,

⇒ 0.225 × 0.36 × N = 243

⇒ $\frac{225}{1000}$ × $\frac{36}{100}$ × N = 243 

⇒ 8100/100000 × N = 243

⇒ N =  3000 

Hence, the value of number N is 3000.

The correct answer is To mitigate the effects of the technology and foreign capital.

Key Points

• Liberalisation 
• The phrase "liberalisation" refers to the removal of limitations on a range of private individual activities, frequently related to the economy.
• Commonly, it refers to a government removing constraints it had previously put on economic or social policy.
• India's economic reform was aided by its 1985 balance of payments crisis.
• Due to the crisis, the nation was unable to cover both its debt obligations and necessary imports.
• Liberalization in India was started by ministers like Atal Bihari Vajpayee, Manmohan Singh, and P.V. Narasimha Rao.
• Objectives of Liberalisation
• To address the growing balance of payment crisis in India.
• To increase the private sector's involvement in the growth of India's economy.
• To boost the amount of foreign investment made in Indian enterprises.
• To encourage domestic Indian corporate competitiveness.
• To encourage domestic and international businesses to grow in order to maximise India's economic potential.
• To help the Indian economy transition to a global economy.
• To control imports and export and encourage international trade.

Additional Information

• Although there had been unsuccessful attempts in 1966 and 1980, India's liberalisation project ultimately took off in 1991.
• The idea of economic liberalisation was adopted in India in order to achieve a number of goals, including industrialisation, a greater role for private and international investment, and the establishment of a free market economy.
• A number of important industries that were previously only accessible to the public sector have reduced their restrictions for private companies.
• After the introduction of liberalisation, India experienced the following improvements:
• All prohibitive barriers to international investing were eliminated.
• In India and other large countries, capital flowed unrestrictedly.
• Ever since the economy was liberalised, the Indian stock market has increased.
• Politics-related dangers decreased.
• The investors were spread out.

Given :

Rakesh travels in a car at 50 km/h for 2 hours,

 he travels on a bike at 35 km/h for 2 hours 

And travels in a train at 100 km/h for 4 hours.

Formula used : 

$Speed = \frac{Distance}{Time}$

average speed = Total distance travelled / Total time taken

Calculations :

Distance travelled by Rakesh in car = 50 × 2 = 100 km

Distance travelled by Rakesh on bike = 35 × 2 = 70 km

Distance travelled by Rakesh in train = 100 × 4 = 400 km

And total time taken  = (2 + 2 + 4) = 8 hours 

Therefore, average speed = Total distance travelled/Total time taken

--> average speed = $\frac{570}{8}$ = 71.25 km/h

Hence, the average speed = 71.25 km/h.

The correct answer is Internet Assigned Numbers Authority.

Key Points

• Internet Assigned Numbers Authority (IANA)  
• The IANA is a standards body that manages media types, global IP address allocation,  root zone management in the Domain Name System (DNS), autonomous system number assignment, and other Internet Protocol-related numbers and symbols.
• It is currently carried out by ICANN, a nonprofit private American business founded in 1998 largely for this purpose under a contract with the United States Department of Commerce.
• From 1998 until 2016, IANA was run by ICANN directly before being handed to Public Technical Identifiers (PTI), an ICANN subsidiary that still manages IANA today.
• Before that, Jon Postel oversaw IANA primarily at the University of Southern California's (USC) Information Sciences Institute (ISI), located in Marina Del Rey (Los Angeles), as part of a deal the USC/ISI had with the US Department of Defense.
• IANA performs its duty in close coordination with the RFC Editorial team and the Internet Engineering Task Force (IETF).

Additional Information

• Regional Internet Registries (RIRs) receive IP address block allocations from IANA.
• Addresses are distributed by each RIR for a certain region of the globe.
• The Number Resource Organization was established by the RIRs collectively as a body to represent their shared interests and guarantee that global policy statements are coordinated.
• IANA facilitates the registration of protocols and manages protocol registries in tables of parameters and protocols.
• There were more than 2,800 registrations and sub registries as of 2015.
• IANA is responsible for maintaining the IETF RFC5646-defined IANA Language Subtag Registry.

The correct answer is Andaman and Nicobar.

Key PointsOnges

• The Onge are an Andamanese ethnic group, indigenous to the Andaman Islands in Southeast Asia at the Bay of Bengal, currently administered by India.
• They are traditionally hunter-gatherers and fishers, but also practice plant cultivation.
• They are designated as a Scheduled Tribe of India.
• They were the sole permanent inhabitants of Little Andaman until the 1940s when their land was stolen by settlers from India, Bangladesh and the Nicobar Islands.
• Andaman and Nicobar islands are one of the union territories of India.

Additional Information

• Union Territories of India
• A union territory is a type of administrative division in the Republic of India.
• Unlike the states of India, which have their own governments, union territories are federal territories governed, in part or in whole, by the Union Government of India.
• There are currently eight union territories of India: Ladakh, Jammu & Kashmir, Puducherry, Lakshadweep, Delhi, Chandigarh, Dadra and Nagar Haveli and Daman & Diu, Andaman and Nicobar Islands.
• Tribal groups
• Indigenous and tribal peoples are often known by national terms such as native peoples, aboriginal peoples, first nations, adivasi, janajati, hunter-gatherers, or hill tribes.

The correct answer is Edwin Montague.

Key Points

• Government of India Act
• Came into force in 1921.
• This Act is also known as Montagu-Chelmsford Reforms(Montagu was the Secretary of State for India and Lord Chelmsford was the Viceroy of India).
• This act relaxed the central control over the provinces by demarcating and separating the central and provincial subjects.
• Edwin Montague
• He was a British Liberal politician who served as Secretary of State for India between 1917 and 1922.
• He was a radical Liberal and the third practising Jew to serve in the British cabinet.

Additional Information

• Lord Elgin
• Former Governor-General of India.
• Right-wing British Liberal politician who served as Viceroy of India from 1894 to 1899.
• Charles I
• Monarch of England.
• During Charles' reign, his actions frustrated his Parliament and resulted in the wars of the English Civil War, eventually leading to his execution in 1649.
• Lord Linlithgow
• He also was a British Unionist politician, agriculturalist, and colonial administrator.
• He served as Governor-General and Viceroy of India from 1936 to 1943.

The correct answer is Girnar.

Key PointsGirnar

• The group of mountains in the Junagadh District of Gujarat, India, situated near Junagadh.
• Girnar Hill is believed to be the Nirvana bhumi of 22^nd Tirthankara Lord Neminatha.
• Height: 128m
• Fourteen of Ashoka's Major Rock Edicts, dating to circa 250 BCE, are inscribed on a large boulder.

Ashokan Inscriptions

• ​Ashokan inscriptions occupy a very significant place in the history of India.
• They are very helpful in reconstructing the history of the Mauryan period.
• These inscriptions have been found on stones, polished stone pillars and the walls of the caves.
• The inscriptions on rocks are called Rock Edicts and on pillars pillar Edicts.
• The inscriptions of Ashoka have been found in India, Nepal, Pakistan and Afghanistan.​

Additional InformationKalsi

• Kalsi is a town in Dehradun District, Uttarakhand.
• It is known for the Rock edicts of Khalsi, a group of major inscriptions by emperor Ashoka.
• The Khalsi rock contains the Major Rock Edicts 1 to 14.

Shishupalgarh

• It is situated in Khurda District in Odisha, India and houses ruined fortifications.
• It used to be the capital of ancient Kalinga.
• It is identified with Kalinganagara of Kharavela and Tosali of Ashoka.

Sannati

• Sannati or Sannathi is a small village, located on the banks of the Bhima River in Chitapur taluk of Kalaburagi district of Northern Karnataka.
• It is famous for the Chandrala Parameshwari Temple and the excavations by the Archaeological Survey of India done in 1986.

The logic followed here is:

The positional values of the English alphabets are as follows:

The above mentioned pattern is followed in the letter cluster.

Using the same, we deduce the required answer for the given question.

PJEB : SQHI :: MCQX : PJTE :: LRCT : OYFA

Hence, OYFA is the correct answer.

The correct answer is Fourth.

Key Points

• India is fourth on the list of countries with the highest wind energy capacity, with all of its near 39 GW located onshore.
• The country currently has no installed offshore capacity, although has outlined targets to deploy 5 GW by 2022 and 30 GW by 2030.

Additional Information Global Wind Energy Council

• It was established in 2005 to provide a credible and representative forum for the entire wind energy sector at an international level.
• China is the world leader in wind energy 288.32 GW.
• National Institute of Wind Energy (NIWE) established in Chennai in 1998 by the Ministry of New and Renewable Energy (MNRE), Government of India is an autonomous research and development institution.

The correct answer is Vitamin D.

Key Points

• Rickets 
• The softening and weakening of bones in children, usually because of an extreme and prolonged vitamin D deficiency.
• Rare inherited problems also can cause rickets.
• Lack of vitamin D results in reduced absorption of calcium and phosphorus.
• Treatment includes exposure to sunlight, a diet rich in vitamin D and calcium, supplements, medication or possibly surgery.

Additional Information               

The correct answer is August 2021.

Key Points

• Essential Defence Services Bill,2021
• An Act to provide for the maintenance of essential defence services so as to secure the security of the nation and the life and property of the public at large and for matters connected therewith or incidental thereto.
• Under the act, the provisions do not prohibit the workmen from going on strike but require them to fulfil the condition before going on strike.
• The provisions apply to a public utility service only.

Additional Information

• The Essential Defence Services Bill, 2021 has a direct bearing on around 70,000 employees of the 41 ordnance factories around the country, who are unhappy with the corporatisation of OFB, fearing that it will impact their service and retirement conditions.
• In June, the government announced the corporatisation of the Ordnance Factory Board which was otherwise directly under the Department of Defence Production and worked as an arm of the government.

Given:

The ratio of savings and expenditure of Kiran is = 7:13

His monthly income is = ₹1,80,000.

The savings are divided in the ratio of 4: 3 between Mutual funds and Equity.

Calculations:

Let the ratio of savings and expenditure of Kiran is = 7x:13x

Let the savings are divided in the ratio of 4y: 3y between Mutual funds and Equity.

According to the question,

Total income = Savings + Expenditure

⇒ 180000 = 7x + 13x

⇒ 20x = 180000

⇒ x = 180000/20 = 9000

Saving = 7x

⇒ 7 × 9000

⇒  63000

Total saving = (4y + 3y)

⇒ 7y

According to question,

7y = 63000

y = 63000/7 

⇒ 9000

The amount of Savings from Mutual Funds = 4y

⇒ 4 × 9000

⇒ Rs. 36000

∴ The amount of money saved in the form of Mutual Funds is Rs. 36000.

The logic followed here is:

The positional values of the English alphabets are as follows:

The cluster follows +3,+5 addition in the position value alternatively.

The correct sequence will be:

WJOF : ZORK :: CPNY : FUQD :: XRLD : AWOI

Hence, AWOI is the correct answer.

The correct answer is harvest.

Additional Information

• Baisakhi festival
• Significance: Solar new year, harvest festival, the birth of the Khalsa.
• Baisakhi is a major event for the farmers as it commemorates the harvest time of the Rabi season.
• Wheat crops could be seen growing and swinging all across Punjab at this time of year.
• Sikhs hold kirtans, visit local Gurdwaras, and community fairs, hold Nagar kirtan processions, raise the Nishan Sahib flag, and gather to socialize and share festive foods.

Additional Information

• Sikh New Year
• According to the Khalsa sambat, the Khalsa calendar starts with the creation of the Khalsa which is 1 Vaisakh 1756 Bikrami (13 April 1699).
• Vaisakhi has been the traditional Sikh New Year.
• The alternative Nanakshahi calendar begins its year a month earlier on 1 Chait which generally falls on 14 March and begins with the birth year of the Guru Nanak Dev in 1469.

GIVEN:

Numbers are 4230, 5986 and 9059

CONCEPT USED:

Dividend = Quotient x Divisor + Remainder 

CALCULATION:

Let the numbers are:

4230 = X × m + n...........(1)

5986 = Y × m + n............(2)

9059 = Z × m + n..............(3)

Where X.Y and Z are quotient , m is divisor and n is remainder ,

Now on  subtracting  equation (3) - (2), (2) - (1), and (3) - (1) we get,

9059 - 5986 = ( Z-Y) × m

⇒ 3073 = ( Z-Y) × m

5986 - 4230 =( Y-X) × m

⇒ 1756 = ( Y-X) × m

9059 - 4230 =( Z-X) × m

⇒ 4829 =( Z-X) × m

Hence H.C.F of (3073,1756, 4829) is m 

⇒ m = 439 

Then from equation (1) , (2) and (3) we get ,

⇒ 4230 = 9×439 +279

⇒5986 =13 ×439 +279

⇒9059 =20 ×439 + 279 

Hence , m = 439 and n =279 

Now, (m-n) = 160.

⇒ Now , the value of (m-n) =160.

The correct answer is 11^th September.

Key PointsMahakavi Day

• To commemorate the death anniversary of freedom fighter Subramania Bharati.
• Bharati's innovative contributions to Tamil poetry and prose are considered to have sparked a Renaissance in 20^th CE Tamil literature.

Additional InformationSubramania Bharathi

• Poet, freedom fighter and social reformer from Tamil Nadu.
• He was known as Mahakavi Bharathiyar and the laudatory epithet Mahakavi means a great poet.
• He is considered one of India's greatest poets.
• He knew 32 languages including 3 foreign languages.
• In 1921 he died from injuries he sustained from a temple elephant in Madras.
• Other names are Bharathi, Subbaiah, Sakthi Dasan, Mahakavi, Mundasu Kavignar, Veera Kavi, Selly Dasan.

Concept used:

Calculations:

According to the question,

(ab) ÷ c

⇒ ${ {17} \over 99}$ × ${ {13} \over 47}$ ÷ ${ {34} \over 33}$

⇒ ${ {17} \over 99}$ × ${ {13} \over 47}$ × ${ {33} \over 34}$

⇒ ${ {1} \over 3}$ × ${ {13} \over 47}$ × ${ {1} \over 2}$ = ${{13} \over 282}$

∴ The value of the given equation is 13/282.

Colleagues : Ted, Ann, Elle, Ricky, Stuart, Veronica.

1) Ted is of the same age as Elle.

⇒ Ted = Elle 

2) Elle is older than Ricky. Ricky is not younger than Veronica. 

⇒ Ted = Elle > Ricky > Veronica

3) Ted is younger than Ann. Stuart is older than Ted. 

⇒  Ann/Stuart > Ann/Stuart > Ted = Elle > Ricky > Veronica

4) Stuart is younger than Ann.

⇒ Ann > Stuart > Ted = Elle > Ricky > Veronica

Option(1): Elle is not older than Ann ⇒ True

Option(2): Ricky is older than Ted. ⇒ False [As Ted = Elle > Ricky so, Ted is older than Ricky]

Option(3): Veronica is younger than Ted ⇒ True

Option(4): Stuart is older than Elle ⇒ True

Hence, "option 2" is the correct  answer.

Given: 

Run rate (R1) for first 30 overs = 5.6 runs per over

Total target (T) = 320 runs

Total number of overs = 50

FORMULA USED:

Total runs = Run rate × no. of overs

Calculations:

For first 30 overs,

Total runs (T1)  = R1 x no. of overs

⇒ 5.6 × 30 = 168 runs

For next 20 overs,

Total runs (T2) =  T - T1

⇒ 320 - 168 = 152 runs

Now Run rate (R2) = T2 / no. of overs  

⇒ 152 / 20 = 7.6 runs per over.

∴ Team India needs run rate of 7.6 runs per over to achieve the target of 320 runs.

Given:

113, 115, 119, 125, 133, ?

Concept Used:

Next Number = Difference between last two + 2

Calculation:

⇒ Difference between first two numbers = 115 – 113 = 2

⇒ Difference between second and third number = 119 – 115 = 4

⇒ Difference between third and fourth number = 125 – 119 = 6

⇒ Difference between fourth and fifth number = 133 – 125 = 8

⇒ Required number = 133 + (Last Difference + 2) = 133 + (8 + 2) = 133 + 10 = 143

Hence, the number which replaces the question mark is 143

Given:

(5/6) × (3/7) + y = (29/63)

Calculations:

(5/6) × (3/7) + y = (29/63)

⇒ (15/42) + y = (29/63)

⇒ y = (29/63) - (15/42)

⇒ y = (58 - 45)/126

⇒ y = 13/126

Now for the value of (10y - 1)

(10y - 1) = 10(13/126) - 1

⇒ (130/126) - 1 

⇒ (130 - 126)/126

⇒ 4 / 126 = 2/63

∴ The value of (10y - 1) is 2/63.

The correct answer is Sambhar Lake.

Key Points Sambhar Lake

• India's largest inland salt lake is located in Sambhar Lake Town, Jaipur district of Rajasthan.
• It is 80 km southwest of the city of Jaipur and 64 km northeast of Ajmer, Rajasthan.
• It is famous for harbouring flamingos in large numbers.
• The lake receives water from six rivers: Mantha, Rupangarh, Khari, Khandela, Medtha and Samod.

Additional InformationDevtal Lake

• Devtal lake is a sacred lake atop Mana Pass.
• It is considered very holy since this lake is believed to be the origin of the Mythical Saraswati River.

Pushkar Lake

• Pushkar Sarovar is located in the town of Pushkar near Ajmer city in the Ajmer district of the Rajasthan state of western India.
• It is a sacred lake of the Hindus.

Lonar Lake

• Also known as Lonar crater.
• It is a notified National Geo-heritage Monument, saline, soda lake, located at Lonar in Buldhana district, Maharashtra.
• It was created by a meteorite collision impact during the Pleistocene Epoch.

Given:

27.5% of a number = 11.

Calculation:

According to the question,

Let the unknown number be 'A'

⇒ 27.5% × A = 11

⇒ 27.5/100 × A = 11

⇒ A = (11/27.5) × 100

⇒ (11/275) × 1000

⇒ (1/25) × 1000

⇒ A =  40.

∴ The unknown number is 40.

The correct answer is Intel India.

Key PointsIntel India

• ​​Intel Corporation, commonly known as Intel, is an American multinational corporation and technology company headquartered in Santa Clara, California.
• It is the world's largest semiconductor chip manufacturer by revenue.
• It is one of the developer of the x86 series of instruction sets, the instruction sets found in most personal computers.

Additional Information

• ​​Research initiative called ‘Fund for Industrial Research Engagement (FIRE)’ launched by the Science and Engineering Research Board (SERB), a statutory body of Department of Science and Technology (DST), Government of India.
• It will help to promote research in the upcoming critical areas of science and engineering with Public-Private Partnerships.
• It will offer researchers a platform to perform industry-related opportunities in the areas like Artificial Intelligence (AI), Machine Learning (ML), platform systems, circuits & architecture, Internet of Things (IoT), materials & devices, security, and edge to cloud.

Explanation:

The positional value table for English alphabet is as given below:

T + O + T + A + L = 20 + 15 + 20 + 1 + 12 = 68

P + E + N = 16 + 5 + 14 = 35

SO, OIL will be written as: O + I + L = 15 + 9 + 12 = 36

Hence, 36 is the correct answer.

The logic followed here is:

**Statement I:**Rahul was born in the year 1987 and is 5 years younger than Vishal's sister.

• This statement gives the relation between age of Rahul and Vishal's sister.
• As per the data, Rahul is born in 1987.
• Rahul is younger than Vishal's sister. So Vishal's sister is born in 1982.
• Clearly, Vishal's sister > Rahul.

Statement II: Vishal is twice as old as his sister.

• This statement gives the relation between age of Vishal and his sister.
• Clearly, Vishal > Vishal's sister.

​We need to determine who is older Rahul or Vishal. 

Statement I or Statement II alone does not answer the question. 

On Combining Statement I and Statement II : However, on combining both the statements, We get:

Vishal > Vishal's sister > Rahul.

So Vishal is older than Rahul.

Hence, Both the statements together is needed to answer the Question is the correct answer.

The correct answer is 395.

Key Points

• The Constitution of India came into force on 26^th January 1950.
• It is the world's longest for a sovereign nation.
• At its enactment, it had 395 articles in 22 parts and 8 schedules.
• At about 145,000 words, it is the second-longest active constitution—after the Constitution of Alabama—in the world.

Additional Information

• Constitution Day is observed on 26^th November every year as it is the day when the Constitution was made.
• The Constitution of India is the longest Constitution in the world.
• Now the Constitution of India has 448 articles in 25 parts and 12 schedules and to add to this all 105 amendments.

The correct answer is 139.

Key Points

• India has been ranked136 out of 149 countries in the list of UN World Happiness Report 2021.
• The World Happiness Report 2021, issued by the UN Sustainable Development Solutions Network, focuses on the effects of Covid-19 and how people all over the world have fared.
• It ranks the world's 149 countries on "how happy their citizens perceive themselves to be".

Additional Information

• Finland has been ranked as the happiest country in the world.
• The Nordic nation is followed by Iceland, Denmark, Switzerland, The Netherlands, Sweden, Germany and Norway.
• Pakistan is on 105^th, Bangladesh on 101^st and China on 84^th.
• The United States ranks in 19^th place for happiness, despite being one of the richest countries in the world.
• People in war-torn Afghanistan are the most unhappy with their lives, followed by Zimbabwe (148), Rwanda (147), Botswana (146) and Lesotho (145).

The correct answer is 20 Hz to 20,000 Hz.

Key Points

• The audible range refers to the range of human hearing.
• When it comes to pitching, the human hearing range begins low at about 20 Hz for someone with normal hearing.
• The highest frequency that can be heard without discomfort is 20,000 Hz.
• While the absolute limits of human hearing are 20-20,000 Hz.
• The audiogram is used by the professional to determine your hearing loss and as a tool for fitting, hearing aids.

Additional Information

• Human infants can actually hear frequencies slightly higher than 20 kHz.
• Some species of bats are sensitive to tones as high as 200 kHz, but their lower limit is around 20 kHz.
• Sounds below 20 Hz are called infrasounds and sounds above 20,000 Hz are called ultrasounds.
• Infrasounds can be perceived by animals like elephants (14 Hz to 12,000 Hz) and ultrasounds can be heard by animals like bats (10,000 Hz to 2000,000 Hz).

The correct answer is 14:3.

Key Points

• The atomic mass of nitrogen is 14.
• The atomic mass of hydrogen is 1.
• So, the mass ratio of N and H in NH₃ = 14 : 3 (N:3H).

Additional Information

• Atomic mass is the quantity of matter contained in an atom of an element.
• It is expressed as a multiple of one-twelfth the mass of the carbon-12 atom.
• Mass ratio, often called "per cent composition by mass," is the proportion of a particular molecule that consists of each of that molecule's constituent elements.

Given:

Speed, S₁ = 2.5 km/h, S₂ = 2.5 + 1 km/h = 3.5 km/h

Time Taken, T₁ =  (x + 6/60) h , T₂ = (x - 6/60) h 

FORMULA USED:

Distance = Speed × Time.

Calculation: 

According to the question, 

Let the time taken by the student to reach school at his normal speed be 'x'. 

When the student walks at 2.5 km/hr. 

Time taken = (x + 6/60) hours.

Distance = 2.5 × (x + 0.1)             - (1) 

When the student walks at 3.5 km/hr. 

He reaches in (x - 6/60) hours. 

Distance = 3.5 × (x - 0.1)                - (2) 

From (1) and (2) we get, 

⇒ 2.5 (x + 0.1) = 3.5 (x - 0.1) 

⇒ 2.5x + 0.25 = 3.5x - 0.35 

⇒ 0.25 + 0.35 = 3.5x - 2.5x  

⇒ x = 0.60 

From (1) we get 

⇒ Distance = 2.5x (0.6 + 0.1) = 1.75 km 

∴ The distance from school to his house is 1.75 km.

GIVEN:

Height of a solid right circular cylinder = 9 cm

The total surface area of a solid right circular cylinder = 704 cm²

The volume of a solid right circular cylinder = 11k cm³

FORMULA USED:

Total surface area = 2πr(h + r) 

Volume = πr²h 

CALCULATION:

Total surface area = 2 $π$ r(h + r) = 2 × $\frac{22}{7}$ × r × (9 + r) = 704 , where value of ( $π$ = $\frac{22}{7}$)

⇒ r (9 + r) =112

⇒ r² + 9r =112 

⇒ r² + 9r - 112 = 0

⇒ r² + 16r -7r - 112 =0

⇒ r (r + 16) - 7(r + 16) = 0

⇒ r = 7 or r = -16, since the value of radius cannot be negative .Hence the value of 

⇒ r = 7 cm.

⇒ Now, According to the given question,

⇒ Volume = 11 k

⇒ but, we also know that volume = πr2h 

Hence, 11k = $\frac{22}{7}$× 49 × 9 

⇒ k = 126

Hence, the value of k = 126

Given:

259.99 ÷ 24.99 × 35.01 - 29.98 × 9.96 = ?

Concept used:

BODMAS rule

Calculation: 

[(260 ÷ 25) × 35] - (30 × 10) 

⇒ [10.4 × 35] - (300) 

⇒ 364 - 300 = 64. 

∴ The most approximate value of the given equation is 64.

Given : 21^st March 2021 was a Sunday.

• Total number of days in a normal year = 365
• Number of odd days in a normal year = 365/7 = 1
• Total number of days in a leap year = 366
• Number of odd days in a leap year = 366/7 = 2
• Total number of days from 21^st March 2021 to 12^th January 2022  = 10(March) + 30(April) + 31(May) + 30(June) + 31(July) + 31(August) + 30(September) + 31(October) + 30(November) + 31(December) + 12(January) = 297
• Since, it was Sunday on  21^st March 2021, every 7^th day from 21^st March  will be a Sunday.
• Thus, no. of odd days from 21^st March 2021 to 12^th January 2022 = 297/7 = 3
• Now, 21^st March 2021 + 3 odd days = 12^th January 2022 ( Wednesday)
• Thus, 12^th January 2022 will be Wednesday.

Hence, "option 1" is the correct answer.

The correct answer is 5.

Key Points

• According to article 243E, every Panchayat, unless sooner dissolved under any law for the time being in force, shall continue for five years from the date appointed for its first meeting and no longer.
• An election to constitute a Panchayat shall be completed 
• before the expiry of its duration specified.
• before the expiration of a period of six months from the date of its dissolution.

Additional Information

• According to article 243E:
• No amendment of any law for the time being in force shall have the effect of causing dissolution of a Panchayat at any level.
• A Panchayat constituted upon the dissolution of a Panchayat before the expiration of its duration shall continue only for the remainder of the period.
• Provided that where the remainder of the period for which the dissolved Panchayat would have continued is less than six months, it shall not be necessary to hold any election under this clause for constituting the Panchayat for such period.

Given:

Number of friends=5, namely Leo, Casey, Pamela, Alisha and Andrew.

Number of fruit=5, Apple, Mango, Strawberry, Pear and Apricot.

Number of profession= 5, namely dancer, actor, singer, doctor and professor.

Explanation:

• The one who likes Pear is a professor.
• Andrew likes Pear.

• Leo likes Apple but is neither a dancer nor a doctor.
• The one who is a singer likes Apricot.
• Casey is a singer.

• The one who likes Mango is a singer or a doctor.
• Since, Singer likes Apricot, Doctor likes Mangoes.

• Alisha likes Strawberry.

• The final arrangement will be as follows:

• Pamela is doctor by profession.

Hence, Pamela is the correct answer.

Given:

• Number of horses= 6, namely A, B, C, D, E, F.
• All are facing North direction.

Explanation:

• Horse D is standing at fourth to the left of horse B.
• Horse D is not standing at any of the extreme ends.

​

​

• Horse B is standing to the immediate right of horse E.

• Horse C is standing between horse A and horse E as its immediate neighbours.

• Horse F is not standing at the extreme right end.

• So, horse F is standing at the extreme left end.

Hence, F is the correct answer.

The correct answer is Sikkim.

Key PointsDance forms of Sikkim

• Folk songs and dances are an inveterate part of the Sikkimese culture.
• Most of the tribal dances depict the harvest season and they are performed for prosperity.
• The dances of Sikkim are accompanied by traditional musical instruments, and chanting, and the dancers carry bright costumes and traditional masks.
• Some of the most famous dance forms are Rechungma, Gha To Kito, Chi Rmu, Be Yu Mista, Tashi Zaldha, Enchey Chaam, Lu Khangthamo, Gnungmala Gnunghey, and Kagyed Dance.

Additional InformationDance forms of Manipur, Andaman and Nicobar and Goa

• Manipur has many styles of dance ranging from folk to classical and modern.
• The primary forms of Manipuri are the Raas Leela, a classical Indian dance form, Jagoi, Cholom and Thang-Ta.
• Nicobari dance is the traditional dance of Andaman and Nicobar.
• It can be seen during the Ossuary Feast, commonly known as the Pig Festival.
• Dhalo is a popular ritual folk dance form Goa, India. The dance is performed by women and serves as a prayer of protection for their households.

The correct answer is It is a process of removing control systems in order to encourage economic development.

Key PointsLiberalisation:

• Liberalisation is the process or means of the elimination of control of the state over economic activities.
• It provides greater autonomy to the business enterprises in decision-making and eliminates government interference.
• Liberalisation was begun to put an end to limitations, and open multiple areas of the economy.
• For developing countries, liberalisation has opened economic borders to foreign companies and investments.

Additional Information

• The process by which an economy is transformed from agriculture to manufacturing of goods is called industrialisation.
• Industrialisation leads to urbanisation.
• Regulatory policy focuses on boosting of government laws and restrictions in order to encourage greater participation by public entities.
• In a monopoly market, the seller faces no competition, as he is the sole seller of goods with no close substitute.

The correct answer is Raichur.

Key Points

• Maski derives its name from Mahasangha or Masangi .
• Maski is an archaeological site in the Raichur district of the state of Karnataka, India.
• It lies on the bank of the Maski river which is a tributary of the Tungabhadra.
• The site came into prominence with the discovery of a minor rock edict of Emperor Ashoka by C. Beadon in 1915.

Additional Information

• A total of 9 have been found in Karnataka till now.
• Among the 9 edicts found in Karnataka, Maski occupies a significant place.
• It was the first edict wherein the Emperor was referred to by his name i.e Ashoka apart from his epithets such as Devanam Piya and Piyadasi.
• This edict was important to conclude that many edicts found earlier in the Indian sub-continent in the name of Devanam Piya and Piyadasi all belonged to Emperor Ashoka.

Given: 

Side of hexagon (a) = 2√3

Formula used: 

⇒ Area of the hexagon = (3√3 ) x a².

                                            2

Calculation: 

Area of the hexagon 

⇒ 3√3 x (2√3)² 

      2 

⇒ 3√3 x (4x3) = 3√3 x (12) 

      2                    2 

⇒ 3√3 x 6 = 18√3 cm².

∴ The area of the given hexagon is 18√3 cm2.

Given : 16, 29, 46, 65, 88, ?

The logic followed here is:

The values are obtained by adding prime numbers to the previous value.

Hence, 117 is the correct answer.

Additional Information Prime number table from 1 to 100:

The correct answer is Aurangzeb.

Key Points

• Badshahi Mosque
• The Badshahi Mosque was constructed by the Mughal emperor Aurangzeb between 1671 and 1673.
• It was the largest mosque in the world from 1673 to 1986.
• The mosque is an important example of Mughal architecture.
• Its exterior is decorated with carved red sandstone with marble inlay.
• It remains the largest mosque of the Mughal era and is the third-largest mosque in Pakistan.

Additional Information

• Sher Shah Suri built the Grand Trunk Road or the GT Road.
• It is one of the longest and oldest roads in Asia.
• It is roughly 3710km long and connects Central Asia to the Indian Subcontinent.
• Humayun has built several architectural structures in Gwalior, Agra, and Delhi.
• Humayun also built some beautiful religious buildings in the city of Din-Panah and the Gates of the Din Panah City, called Talaqi Darwaza, Bara Darwaza, Humayun Darwaza, and Sher Mandal.
• Ittumish completed the construction of the Qutb Minar, which had been started by Qutb al-din Aibak.

Given:

a + b = 15,

a2 + b² = 113

Concept used:

(a + b)² = a² + b² + 2ab

a³ + b³ = (a + b) (a² + b² - ab)

Calculations:

According to the question,

(a + b)2 = a2 + b2 + 2ab

⇒ (15)² = 113 + 2ab

⇒ 225 - 113 = 2ab

⇒ 112 = 2ab

⇒ ab = 56

Now for the value of  a3 + b3,

a3 + b3 = (a + b) (a2 + b2 - ab)

⇒ a3 + b3 = (15) ( 113 - 56)

⇒ a3 + b3 = 15 × 57

⇒ a3 + b3 = 855

∴ The value of a3 + b3 is 855.

The correct answer is total revenue.

Key Points

Total Revenue:

• While a firm in a perfectly competitive market does not influence its price, it does determine the output it will produce.
• In selecting the quantity of that output, one important consideration is the revenue the firm will gain by producing it.
• A firm’s total revenue is found by multiplying its output by the price at which it sells that output.
• Total revenue (TR) is the total receipts a seller can obtain from selling goods or services to buyers.
• It can be written as P × Q, which is the price of the goods multiplied by the firm’s output.
• Total revenue = TR = P × Q

Additional Information 

Concept: Cause and effect.

Given:

Statements:

I. Students called off their protest they held against insufficient employment opportunities.

II. Students went on protest anticipating inability of government to provide employment.

Explanation:

I. Students called off their protest they held against insufficient employment opportunities.

• The students held a protest due to insufficient employment opportunities.
• The protest was called off by the students.

​

II. Students went on protest anticipating inability of government to provide employment.

• The students started a protest.
• The reason for starting the protest was  inability of government to provide employment.

Hence, Both the statements, I and II, are effects of independent causes is the correct answer.

Given:

8000 < x < 8500

Divisors = 12, 14, 16, 35, 84

Remainders = 4, 6, 8, 27, 76

Concept used:

N = (LCM of divisors)K - Difference

Calculations:

In this, if you subtract each remainder from its corresponding divisor you will get,

For ex.

⇒ 12 - 4 = 14 - 6 = 16 - 8 = and so on = 8 

The difference will be constant always.  

LCM of (12, 14, 16, 35, 84) = 1680

⇒ N = (LCM of divisors)K - Difference

Here the only possible value of k is 5

⇒ x = (1680) × 5 - 8

⇒ x = 8400 - 8 = 8392

∴ The tens digit in x is 9.

Given: Z > H ≥ Y > R < D ≥ F > X

The logic followed here is:

There is no relationship between Z and X, F and H. This is obtained from given inequality.

Conclusion I: Z ≥ X → False  (as Z > H ≥ Y > R < D ≥ F > X, no clear relation between Z and X can be formed)

Conclusion II: F > H → False ( as H ≥ Y > R < D ≥ F, no clear relation between F and H can be formed)

Hence, Neither conclusion I nor II is true is the correct answer.

Given:

11, 19, 27, 35, 43, ......

Concept Used:

a_n = a + (n – 1) d

Calculation:

⇒ First term, a = 11 and Common Difference, d = 19 – 11 = 8

⇒ Checking for each term, the n value should be integer.

⇒ 434 = 11 + (n – 1) × 8

⇒ n – 1 = $\frac{423}{8}$ = 52.875

⇒ This value will not be possible in this series, as number of terms can't be in decimal.

⇒ 107 = 11 + (n – 1) × 8

⇒ n – 1 = $\frac{96}{8}=12$

⇒ n = 12 + 1 = 13

⇒ This is a 13^th term in this series.

⇒ 307 = 11 + (n – 1) × 8

⇒ n – 1 = $\frac{296}{8}=37$

⇒ n = 37 + 1 = 38

⇒ This is a 38^th term in this series.

⇒ 195 = 11 + (n – 1) × 8

⇒ n – 1 = $\frac{184}{8}=23$

⇒ n = 23 + 1 = 24

⇒ This is the 24^th term in this series.

Hence, the number which cannot be possible in this series is 434

Given:

P and Q like to drink coffee and tea.

R and S like coffee and energy drink.

Q and S like tea and cold drink.

R, S and T like energy drink and ice-tea.

Calculations:

In this table X denotes Who likes a drink

Only Q likes only three drinks, viz., coffee, tea, and cold drink - there are 3 X for Q

Hence correct answer is Q

Explanation: 

Statements:

a) Some scarfs are shawls.

b) Some shawls are mufflers.

The least possible venn diagram will be as follows:

We will check the conclusions.

• Conclusion I. Some scarfs are mufflers. → False (As there is no relation between scarfs and mufflers. So we cannot conclude it with surity.)
• Conclusion II. Some mufflers are shawls. →True (As Some A are B and Some B are A follows and Some Shawls are Mufflers is given in statement).

​Hence, Only conclusion II follows is the correct answer.

The correct answer is Fifth Five-Year Plan.

• The Fifth Five Year Plan India was chalked out for the period spanning 1974 to1979 with the objectives of increasing the employment level, reducing poverty, and attaining self-reliance.

 Key Points​

• The Fifth Five Year Plan India was designed with emphasis on certain objectives, enlisted as under:
• to reduce social, regional, and economic disparities for developmental planning
• to enhance agricultural productivity
• to initiate land reforms
• to check rural and urban unemployment
• to emphasize on household industries like carpet-weaving, handlooms, sericulture, and handicrafts
• to encourage self-employment through a well integrated local planning
• to encourage import substitution in areas like industrial machinery, chemicals, paper, iron and steel and non-ferrous metals
• to capture the markets with locational advantages
• to initiate appropriate use of fiscal, credit and production support policies in the cottage industry sector
• to develop labor intensive technological improvements

Additional Information

• ​The Fifth Five-Year Plan of India (1974–1979) was formulated by the Indira Gandhi government.
• It focused on agriculture, poverty alleviation, and employment generation.
• The plan also aimed to reduce social and economic inequality between different sections of society.

Given:  

The number is completely divisible by both 9 and 11. 

Concept used:  

The divisibility by 11 rule states that if the difference of the sum of the digits at odd places and even places of the number is 0 or divisible by 11, then the given number is also

divisible by 11. For calculating the difference, we always subtract the smaller value from the larger value.  

The divisibility rule of 9 states that if the sum of digits of any number is divisible by 9, then the number is also divisible by 9. 

Calculation:  

According to the concept, 

Now we check if the numbers are divisible by 9; 

⇒ 12345 = 1 + 2 + 3 + 4 + 5 = 15   [not divisible by 9]

⇒ 277218 = 2 + 7 + 7 + 2 + 1 + 8 = 27  [divisible by 9]

⇒ 181998 = 1 + 8 + 1 + 9 + 9 + 8 = 36  [divisible by 9]

⇒ 10098 = 1 + 0 + 0 + 9 + 8 = 18  [divisible by 9]

Now we check if the numbers are divisible by 11;  

      ⇒ 12345 = (odd places) - (even places) = 3  [not divisible by 11] 

Odd places = 1 + 3 + 5 = 9 

Even places = 2 + 4 = 6  

⇒ 277218 = (odd places) - (even places) = 7  [not divisible by 11] 

Odd places = 2 + 7 + 1 = 10 

Even places = 7 + 2 + 8 = 17 

      ⇒ 181998 = (odd places) - (even places) = 14 [not divisible by 11] 

Odd places = 1 + 1 + 9 = 11 

Even places = 8 + 9 + 8 = 25 

⇒ 10098 = (odd places) - (even places) = 0 [divisible by 11] 

Odd places = 1 + 0 + 8 = 9 

Even places =  0 + 9 = 9

∴ The number divisible by both 9 and 11 is 10098.

The correct answer is 4.

Key Points

• The RBI has 4 deputy governor - 2 are appointed from outside while the remaining 2 are promoted from within. The other 2 appointed from outside, one is commercial banker and the other is economist.
• The present 4 deputy governor of RBI are Shri Mahesh Kumar Jain, Dr. Michael Debabrata Patra, Shri M. Rajeshwar Rao, Shri T. Rabi Sankar.

Additional Information

• The Central Office of the Reserve Bank was initially established in Kolkata but was permanently moved to Mumbai in 1937.
• Shaktikanta Das is the twenty-fifth governor of the Reserve Bank of India from 12 December 2018.

The correct answer is Arakan Yoma.

Key Points​

• The Andaman and Nicobar islands (a&n) are thought to be the emergent peaks of a submerged mountain range related to the Arakan Yoma range of mainland Burma.
• The islands include steep hills, and generally poor soil with little water holding capacity.
• Arakan yoma is the extension of the himalayas located in Myanmar.
• The Arakan Mountains are also known as the Rakhine Mountains.
• These are a mountain range in western Myanmar, between the coast of Rakhine State and the Central Myanmar Basin, in which the Irrawaddy River flows.

Additional Information

• Port Blair is the capital of the Union Territory of Andaman & Nicobar Islands.
• Lt. Governors of Andaman and Nicobar is Admiral D K Joshi.

Given: 

20 people can do a piece of work in 12.5 days

Calculations:

The total amount of work done by 20 people = 20 × 12.5 = 250 units

Amount of work done by 20 people in 8 days = 20 × 8 = 160 units

Remaining work = 250 units - 160 units = 90 units

Remaining worker = 20 - 8 = 12

Time required to complete the remaining work = 90/12 = 7.5 days

∴ The remaining work will be completed by 12 people in 7.5 days.

Given: 

Amount = Rs. 10164 

Rate of interest (R) = 10% per annum 

Time Period (T) = 2 years  

Formula used: 

Amount = P (1 + R/100)^T 

Calculation: 

According to the question, 

10164 = P (1 + 10/100)² 

⇒ 10164 = P (11/10)² 

⇒ 10164 = P (121/100) 

⇒ 10164/(121/100) = P 

⇒ 84 × 100 = P 

⇒ P = Rs. 8400.

∴  The principle amount invested was Rs. 8400.

Given:  

The number is divisible by 11. 

Concept used:  

The divisibility by 11 rule states that "if the difference of the sum of the digits at odd places and even places of the number is 0 or divisible by 11, then the given number is also divisible by 11". 

For calculating the difference, we always subtract the smaller value from the larger value.  

Calculation:  

According to the concept   

Now we check if the numbers are divisible by 11;  

⇒ 1120121 = (odd places) - (even places) = 2 [not divisible by 11] 

Odd places = 1 + 2 + 1 + 1 = 5 

Even places = 1 + 0 + 1 = 3  

⇒ 1201121 = (odd places) - (even places) = 2 [not divisible by 11] 

Odd places = 1 + 0 + 1 + 1 = 3 

Even places = 2 + 1 + 2 = 5 

⇒ 1210121 = (odd places) - (even places) = 0 [divisible by 11] 

Odd places = 1 + 1 + 1 + 1 = 4 

Even places = 2 + 0 + 2 = 4  

⇒ 1210211 = (odd places) - (even places) = 3 [not divisible by 11] 

Odd  places = 1 + 1 + 2 + 1 = 5 

Even  places = 1 + 0 + 1 = 2 

∴ The number divisible by 11 is 1210121.

Given:

Perimeter of the rectangle = 21000 m

Length : Breadth = 7 : 3

Formula used:

Perimeter of a rectangle = 2 × (l + b)

Calculations:

Let the numbers be 7x and 3x

According to the question,

2 × (l + b) = 21000 m

⇒ 2 × (7x + 3x) = 21000 m

⇒ 2 × (10x) = 21000 m

⇒ 20x = 21000 m

⇒ x = 21000/20

⇒ x = 1050 m

⇒ Length = 7 × 1050 = 7350 m

⇒ Breadth = 3 × 1050 = 3150 m 

Now the difference in length and breadth,

⇒ L - B = 7350 - 3150 = 4200 m.

∴ The difference in length and breadth is 4200 m.

The logic followed here is:

• Vowels are a, e. i, o, u.
• Consonants are all the letters in English alphabet except vowels.

In the given series, consonants that are immediately followed by a vowel are:

Series : (Left) A T G H @ 7 D O G K I 7 # P E 4 1 D & G O H 4 @ 3 1 K M B U C D (Right)

 Thus, there are five consonants that are immediately followed by a vowel, namely DO, KI, PE, GO, BU.

Hence, 5 is the correct answer.

The correct answer is Himachal Pradesh.

Key Points

• Rohtang Pass is a high mountain pass on the eastern end of the Pir Panjal Range of the Himalayas around 51 km from Manali in the Indian state of Himachal Pradesh
• It connects the Kullu Valley with the Lahaul and Spiti Valleys of Himachal Pradesh, India.
• The name Rohtang means 'ground of corpses' or 'pile of dead bodies' due to the number of people who lost their lives trying to cross it.

Additional Information

• ​Himachal Pradesh has 2 capitals : Shimla (summer) and Dharamshala (winter)
• Chief Minister of the state of Himachal Pradesh is Jai Ram Thakur

The correct answer is North America.

• the Union Pacific Railroad operates in North America.

Key Points

• Thomas Clark Durant, the namesake of the city of Durant, Iowa, the first rails were laid in Omaha.
• The two lines were joined at Promontory Summit, Utah, 53 miles (85 km) west of Ogden on May 10, 1869, hence creating the first transcontinental railroad in North America.
• President Abraham Lincoln had approved the act.

Additional Information

There are seven continents: Asia, Africa, North America, South America, Antarctica, Europe, and Australia (listed from largest to smallest in size).

Given : ÷ means addition, × means subtraction, + means multiplication, and - means division.

BODMAS Rule:

After replacing mathematical signs, the equation becomes: 

⇒ 30 ÷ 10 × 4 - 6 + 4 

⇒ 3 × 4 - 6 + 4 

⇒ 12 - 6 + 4 

⇒ 16 - 6 

⇒ 10

Hence, "option 2" is the correct answer.

GIVEN:

Number of toffees of A = 8

The number of toffees of B = 1 + 50% of the total number of toffees.

CONCEPT USED:

50% of any number = number /2.

CALCULATION:

Let the total number of toffees be X

Number of toffees of B = 1 + X/2

Total number of toffees = Number of toffees of A + Number of toffees of B

⇒ X = 8 + ( 1+ X/2)

⇒ X/2 = 9 

⇒ X = 18 

⇒ Hence, Total number of toffees =18

⇒ Number of toffees of B = (Total number of toffees - Number of toffees of A) = (18 - 8) = 10.

∴ The total number of toffee B has 10

GIVEN:

α = 30 degrees

FORMULA USED:

Sin 30 degree = 1/2

Cos 30 degree = √3/2

CALCULATION:

Value of sin $α$ × cos$α$ =sin 30 × cos30 =1/2× $√{3}$/2 =√3/4

Hence the value of sinα cosα = √3/4.

Hence, the value is $\frac{√3}{4}$.

The correct answer is G6.

Key Points

• MS Excel is in tabular format consisting of rows and columns.
• Row numbers ranges from 1 to 1048576; in total 1048576 rows, and Columns ranges from A to XFD; in total 16384 columns. Row runs horizontally while Column runs vertically.
• Each row is identified by row number, which runs vertically at the left side of the sheet.
• Each column is identified by column header, which runs horizontally at the top of the sheet.

Additional Information

• ​Early Microsoft employee Charles Simonyi is the man behind some of the company's most successful software, including Word and Excel
• Excel is a popular spreadsheet system, which organizes data in columns and rows that can be manipulated through formulas that allow the software to perform mathematical functions on the data.

The correct answer is 243G.

Key Points

• Article 243G of Indian constitution is related with powers, authority and responsibilities of Panchayats
• Subject to the provisions of this Constitution, the Legislature of a State may, by law, endow the Panchayats with such powers and authority as may be necessary to enable them to function as institutions of self-government and such law may contain provisions for the devolution of powers and responsibilities upon Panchayats at the appropriate level, subject to such conditions as may be specified therein, with respect to—
• the preparation of plans for economic development and social justice;
• the implementation of schemes for economic development and social justice as may be entrusted to them including those in relation to the matters listed in the Eleventh Schedule.

Additional Information

• Article 243F of Indian Constitution is related to disqualification for membership.
• Article 243E of Indian Constitution is related to Duration of Panchayat.
• Article 243H of Indian Constitution is related to authorize a Panchayat to levy, collect and appropriate such taxes, duties, tolls and fees in accordance with such procedure and subject to such limits.

The logic followed here is :

'MANGO' is written as 'NCQKT'.

'APPLE' is written as 'BRSPJ'.

To find: code for 'PEARS'.

'PEARS' is written as QGDVX.

Hence, QGDVX is the correct answer.

Books : A, B, C, D, E, F, G and H.

Conditions applied :

*If A is chosen, F cannot be chosen.

*If B is chosen, E must also be chosen.

*If D is chosen, G must also be chosen.

Lets check each option :

1) B, D, E, F, G

This is the perfect combination of books because it satisfies all three conditions.

2) B, C, D, F, G 

This cannot be the combination because it doesn't satisfies the second condition (If B is chosen, E must also be chosen)

3) A, B, D, E, F

This cannot be the combination because it neither satisfies the first condition nor the last condition (If A is chosen, F cannot be chosen and If D is chosen, G must also be chosen)

4) A, B, C, D, G

This cannot be the combination because it doesn't satisfies the second condition (If B is chosen, E must also be chosen)

Hence, "option 1" is the correct answer.

Given:

• Number of floors = 7
• Number of people = 6, namely  A, B, C, D, E, and F.
• One of the floors in the building is vacant.
• The ground floor is numbered floor number 1 and so on.

​Explanation:

• B lives on the floor no.6

• No floor below the floor no. 3 is vacant.
• No odd numbered floor is vacant.

• Only B lives between the floors of A and F.
• Only two people live between C and F.
• C lives on one of the floors below F.

• Only one person lives between E and D.
• More than one person lives between D and B.

So, floor 4 is vacant.

Hence, 4 is the correct answer.

Given:

Number of friends =  5, namely Amit, Bablu, Chirag, Deepak and Eklavya.

Number of occupations = 5, namely Advocate, Boxer, Coach, Doctor and Engineer.

Explanation:

• All are sitting around a circular table.
• All are facing the centre.
• Amit sits second to the right of Chirag, who is a Coach.

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 Bablu is a Boxer. The Boxer will never sit immediately next to the Coach.

 Deepak is a Doctor. The Doctor and Boxer are immediate neighbours of each other.

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The final arrangement is:

Eklavya sits to immediate right of Chirag.

Hence, Eklavya is the correct answer.

The correct answer is Ashoka.

Key Points

• Ashoka
• He was the son of Vindusara who invaded Kalinga in 261 B.C. and succeeded in occupying Kalinga.
• The Kalinga War was of colossal nature in which as many as 1,00,000 were killed and 1,50,000 were taken captives while as many as that number died as an aftermath of the war.
• Ashoka was deeply moved by the terrible bloodshed caused by this war and was converted to Buddhism .
• Kalinga became one of the administrative provisions in the empire of Magadha with headquarters of a Kumara (Viceroy) located at Tosali.

Additional Information

• Brihadratha
• He was the last ruler of the Mauryan Empire.
• He ruled from 187 to 185 BCE, when he was killed by his general, Pushyamitra Shunga, who went on to establish the Shunga Empire.
• Bindusara
• Bindusara also Amitraghāta or Amitrakhāda or Amitrochates was the second Mauryan emperor of India.
• He was the son of the dynasty's founder Chandragupta and the father of its most famous ruler Ashoka.
• Chandragupta Maurya
• He was a ruler of Iron Age South Asia who expanded a geographically-extensive kingdom based in Magadha and founded the Maurya dynasty.
• He reigned from 321 BCE to 293 BCE.

Given: 

⇒(48 ÷ 72 × 3) - [15 ÷ 8 × (40 - 32) - 10]

Concept Used: 

Calculation: 

⇒ [(48 ÷ 72) × 3] - [{(15 ÷ 8) × (40 - 32)} - 10]

⇒ [(0.66) × 3] - [{(1.875) × (8)}- 10] 

⇒ [1.98] - {15 - 10} 

⇒ 1.98 - 5 

⇒ 3.02 or ~3 

∴ The value of (48 ÷ 72 × 3) - [15 ÷ 8 × (40 - 32) - 10] is 3.02 ~3.

Given: 

Selling Price (SP) = Rs 4125 

Gain% = 10%

Formula used:

SP = Cost Price (CP) + gain  

Calculation: 

Let CP be Rs a 

4125 = a + (10/100) × a  

⇒  4125 = a + a/10   

⇒  4125 = (10a + a)/10  

⇒  4125 = 11a/10  

⇒ 11a = 41250 

⇒ a = 41250/11 

∴ CP = Rs. 3750 

Now the selling price with 18% gain: 

SP = CP + gain  

⇒ 3750 + 18% of 3750 

⇒ 3750 + (18 × 3750)/100 

⇒ 3750 + 675 = Rs. 4425.

∴ The cost price of the item is Rs.3750 and the selling price with 18% gain is Rs. 4425.

Given:

Boys : Girls = 2 : 1 

Average weight of boys = 50 kg

Average weight of girls = 44 kg

Concept used:

Average value (A) = (Sum of all the values)/(Total no. of values)

Calculation:

Let the no. of boys be 'a' and no. of girls be 'b'.

According to the question,

⇒ a/b = 2/1

⇒ a = 2b

Total no. of students = Boys + girls = a + b

⇒ 60 = 2b + b 

⇒ 3b = 60

⇒ b = 60/3 = 20

Number of girls is 20 and that of boys is 40.

Now Average weight of the students in the group

⇒ A = [(40 × 50) + (20 × 44)]/60

⇒ A = [(2000) + (880)]/60

⇒ A = 2880/60 = 48 kg

∴ Average weight of the students in group is 48 kg.

GIVEN:

No. of white  beads  Kiran has = 24

No. of   black beads Resham has = 18

Each row contains equal no. of beads.

Each row contains either only white or black bead

CONCEPT USED:

Highest Common Factor (H. C. F )

CALCULATION :

 24 = 2 × 3 × 4 × 1

18 = 2 × 3 × 3 × 1

We have four possibilities 

⇒ 1 bead in each row

⇒ 2 beads in each row

⇒ 3 beads in each row

⇒ 6 beads in each row 

⇒ In all other cases, rows will get more than one colour of beads.

⇒ Hence, the greatest number of beads that can be arranged in a row is 6.

The correct answer is 1^st of March 1947.

Key Points

• Article 6 
• Notwithstanding anything in articles 5 and 6, a person who has after the first day of March, 1947, migrated from the territory of India to the territory now included in Pakistan shall not be deemed to be a citizen of India:
• Provided that nothing in this article shall apply to a person who, after having so migrated to the territory now included in Pakistan, has returned to the territory of India under a permit for resettlement or permanent return issued by or under the authority of any law and every such person shall for the purposes of clause (b) of article 6 be deemed to have migrated to the territory of India after the nineteenth day of July, 1948.

Additional Information

• The Constitution of India is the supreme law of India.
• The document lays down the framework that demarcates fundamental political code, structure, procedures, powers, and duties of government institutions and sets out fundamental rights, directive principles, and the duties of citizens
• The Republic is governed in terms of the Constitution of India which was adopted by the Constituent Assembly on 26^th November, 1949 and came into force on 26^th January, 1950.
• Dr. Bhimrao Ramji Ambedkar is known as the father of the Indian Constitution.

Given :

Speed (S₂) = $\frac{3}{5}$ of usual speed (S₁) 

Distance (D₁) = 42 km 

Time (T₁) = 35 mins = $\frac{35}{60}$hour 

Formula used :

       $Speed = \frac{Distance}{Time}$